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Finding the Fourth Proportional to 358,907.60, 538,264.20 and 106,187.60

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Solution

The fourth proportional to 358,907.60, 538,264.20 and 106,187.60 is: 159,252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,907.60 : 538,264.20 = 106,187.60 : x
  2. Step 2: Convert to fraction form
    358,907.60/538,264.20 = 106,187.60/x
  3. Step 3: Cross multiply
    358,907.60x = 538,264.20 × 106,187.60
  4. Step 4: Simplify right side
    358,907.60x = 57,156,983,563.92
  5. Step 5: Solve for x
    x = 57,156,983,563.92/358,907.60
  6. Step 6: Final answer
    x = 159,252.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.